This line draws lessons from Daxie Su language, and then goes a little crazier. Because my children have poor foundation and poor computing ability, they are Puwa, so they go even more extreme.
Throughout the first stage of junior high school, we will throw away the fourth grade, English and Chinese, and we will all grasp mathematics, and the summer vacation will begin to end. It's almost over.
Along the way, I took many detours and made many mistakes. Let's reflect.
Especially in the first half of the semester, I actually regret it now. Without goals and directions, I study high school mathematics in a hurry. In terms of efficiency and practicality, I still need to think and measure.
Personal advice, why do you want to learn high school mathematics, what to learn, how to learn it, which is related to junior high school, which can be learned, and which is useless for the time being.
What did you learn if your parents didn't have goals and plans?
Of course, the bullfrog with superior strength can be ignored. Puwa and the baby between Puwa and bullfrog still need to be carefully considered. Don't try to be tall.
Of course, this is just my personal opinion, which is definitely biased. I hope it can be used for reference by others.
The real high school mathematics can help junior high school mathematics, which is limited.
Let's talk about this piece later.
Think and reflect.
I hope that the road to mathematics in the second stage of junior high school can be better.
In the first semester of junior high school,
Complete algebra and most of geometry in junior high school.
In geometry, I didn't learn circle and similarity in the ninth grade.
After learning to master synchronization, Lao Wang, algebra and geometry, all the seventh and eighth grades, ninth grade algebra.
53 Jiangsu exam algebra part,
Xiaolanyi, 123457, after painting,
Xiao Laner, after two rounds of brushing, the correct rate is only 30%, so Xiao Laner, strictly speaking, is not finished.
If you haven't brushed for more than three rounds and the correct rate is not more than 80%, it's not called brushing. Of course, this is just a personal opinion.
Why do you say that? Because this involves a key point, quantification.
When we learn from others, a core thing is quantification.
Quantification is a concrete and objective thing that can be imitated and learned, not an ambiguous thing.
This is particularly good for Ma Zi, such as how much time, planning and time to brush the book, at a glance.
This is the experience of learning from Zi Ma. Let me add, time control.
For example, after brushing, learn to finish writing one question at a time.
For example, how many minutes does it take to learn to master synchronization? Three minutes or five minutes? What is a careless mistake? Why did it appear?
I can only admire the jumping of the bosses, because without this ability, for us fools, there is only a stupid way to move forward step by step.
Similarly, for a stupid parent like me, it is also necessary to know the children's learning situation truly and objectively.
It's really hard not to finish a few books.
However, even so, there are still many problems.
This problem will be discussed in detail later.
Zhejiang University is excellent at learning, and this book is also a brush. The core is the concept, which has been turned back and forth for three or four rounds.
Sun Weigang watched three rounds, but the fool said it was a bit difficult.
I checked it myself. Indeed, the difficulty coefficient is a bit. Maybe I will come better after studying high school math.
The first semester of junior high school basically completed these.
At that time, it was scheduled to review once a month. Now it seems completely unsuccessful. This review coefficient is too large and takes too long, leading to too much forgetting. This is also a cycle that needs practice to find.
First half semester
Because of the epidemic, high school mathematics began in the first half of the semester.
This semester, I finished the examples and exercises in the inequality part of Hua Er's general textbook, including the last two sections. I gave up, proved the inequality and applied the inequality. The correct rate is less than 80%, and it is too slow to do it. If not, then take your time. Forget it, you don't have that much time, so you're not a master.
Hua Er general textbook function part, chapter 3 function part, complete examples and exercises.
Then I got stuck, power function, exponential function, logarithmic function, among which power function and exponential function are ok, logarithmic function has no foundation at all, and needs practice to buffer and practice. So this piece, the correct rate is not good, not mastered.
Then I fell into the pit, trigonometric function, series, extremely painful.
A trigonometric function, 998 1 formula,
Order, this messy formula also many, not less than 30.
So in this area, my family is not studying well,
At present, I can only say that I understand the concept, get familiar with the concept, and understand the concept.
For example, I used to see trigonometric functions and sequences, just like aliens, and I can't understand interaction. Now it's relatively better. At present, you know each other, but there is still a huge generation gap to interact with, but you lack in-depth practice. There is no other way, no proficiency in hundreds of questions, no meaning, no real learning.
The most important thing is, how to ensure that you don't forget?
If you don't brush for a round, will it happen in the future?
Anyway, my family can't. Puwa needs to know her own limits, and mortals need to know themselves, so for my family, this piece is a big pit that can't be skipped for the time being.
What is the review cycle here, how long does it take to pick it up again, how many questions do you need to brush, and how to ensure proficiency? How to ensure the correct rate?
My fool can't do it, and there is no good way to solve this problem at present.
If the competition dolls, such as Han, Xiao Abu and Bao Shao, are all famous schools, I think there is no problem.
But for us mortals, how to learn not to forget is a huge problem.
This requires regular inspection. To what extent? How long will it take? What is the depth?
I also discussed this problem with fools. What should I do?
Should we not review senior high school mathematics for the time being and deepen junior high school mathematics?
My fool Huang Zhonglu said something that shocked me.
The fool said, it's a pity to forget. For me, the math part of high school was so difficult that I forgot it. Isn't it the same feeling as my dead parents?
⊙? ⊙! ⊙? ⊙! Well, I finally know what it's like to be a fool after death.
It turns out that forgetting the math part of high school is equivalent to the death of parents.
Yes, my own, really.
Therefore, high school mathematics can't be lost for the time being and needs to be reviewed regularly.
So the difficulty coefficient is a little higher, and Hua Er will forget it later.
Back to PEP, PEP is much simpler, at least the examples and exercises are simple.
Don't say anything, deduce repeatedly, recite the concept of the book, how to deduce each part, deduce it, and recite it thoroughly.
Therefore, this is not a master, there is not enough quantitative brush questions, it doesn't make any sense, so it doesn't exist, and it is said that it has been learned.
That's it, a general textbook for Hua Er, a general textbook for People's Education Edition, and a textbook to help one.
I can only say that I have seen, been familiar with and done some examples and exercises, but I am far from really mastering them.
The function, mirror image, parity, increase and decrease of the textbook are all honestly brushed for a few rounds, quickly. It is estimated that the correct rate can reach more than 80% this semester. Take your time.
After the end of the first half of the semester, I spent my whole life in mathematics in this high school.
Six months, throw away junior high school math for six months,
For fools who help quickly, the price is that after half a year, the proficiency of junior high school mathematics will be reduced, even worse than before. The computing power is also reduced,
Why, to understand trigonometric function, to deduce the formula of sequence, and to chew on teaching materials to help function.
This is the content of the first half semester.
Along the way,
As for whether the result is good or bad, I don't know, and I don't know whether it is the best way.
So before the start of school, I brushed the synchronization of learning tyrants again and found that, alas, my proficiency dropped. Oh, this is still a problem. Oh, this question, I have done it before, and now I forget it.
What, this question, you still need to think, it used to take only five minutes to do the synchronization of learning tyrants, but now it takes more than ten minutes?
Quantify regular review time to ensure that your knowledge is not forgotten, unknown, and there are no other people's details to refer to.
I consulted several competition mothers, and they all focused on deepening in class, not in a hurry.
Then we need to watch it again. How to arrange this degree?
I did so much in the first semester of mathematics. Has been stuck in the derivation of the concept, and forget.
Therefore, as mortals, our parents and children must know their own limits.
If I had known that trigonometry and series needed so much time, I wouldn't have studied high school mathematics.
Of course, this is also a problem that I need to solve with fools at present.
Grade one, grade one, I have learned so much math.
I will talk about it in the summer vacation from grade one to grade two.
Write slowly, there are too many things.
In teaching practice, I designed a table of fractional lines according to the "division and combination" of one-year series, and discussed it with th